Table 1 The parameters description of SPA2G2R model.

From: Dynamic analysis and optimal control of competitive information dissemination model

Parameter

Description

S(t)

The number of susceptible people at time t

P(t)

The number of positive information disseminators at time t

A(t)

The number of negative information disseminators at time t

G1(t), G2(t)

The number of information dissemination people subject to isolation control at time t

R1(t), R2(t)

The number of people who no longer communicate the two types of information at time t

B

The number of individuals entered in the whole system per unit time

\(\alpha _1\)

Positive information disseminating rate

\(\alpha _2\)

Negative information disseminating rate

\(\beta\)

The contact rate between positive information disseminators and negative information disseminators

\(\theta _1\)

The probability of easy adopters being influenced by the guidance mechanism

\(\theta _2\)

The probability of negative information dissemination population being influenced by guidance mechanisms

\(\lambda _1\)

The probability of positive information dissemination groups being subjected to information isolation mechanisms

\(\lambda _2\)

The probability of negative information dissemination groups being subjected to information isolation mechanisms

\(\gamma _1\), \(\gamma _2\)

The recovery rates of positive information disseminators and negative information disseminators

\(\varepsilon _1\), \(\varepsilon _2\)

The recovery rates of positive information isolators and negative information isolators

\(\mu\)

The proportion of individuals moving out per unit time